. The
dynamical exponent 
describing the front width evolution
as function of time, was estimated to 
. The
results are compared to experimental data of Frette et al.
Phys. Rev. E 55, 2969, (1997).
Eyvind Aker, Knut Jørgen Måløy
Department of Physics, University of Oslo, N-0316 Oslo, Norway
Alex Hansen
Department of Physics, Norwegian University of Science
and Technology, N-7034 Trondheim, Norway
G. George Batrouni
Institut Non-Linéaire de Nice, Université de
Nice - Sophia
Antipolis, 06560 Valbonne, France
We investigate a two-dimensional network
simulator that model the dynamics of drainage dominated flow where
film flow can be neglected. We present a new method for simulating the
temporal evolution of the pressure due to capillary and viscous forces
in the displacement process. To model the dynamics we let the local
capillary pressure change as if the menisci move in and out of
hour-glass shaped tubes. Furthermore, a method has been developed to
allow simultaneous flow of two liquids into one tube. The model is
suitable to simulate different time dependencies in two-phase drainage
displacements. In this paper, we simulate the temporal evolution of
the fluid pressures and analyze the time dependence of the front
between the two liquids. The front width was found to be consistent
with a scaling relation . The
dynamical exponent describing the front width evolution
as function of time, was estimated to . The
results are compared to experimental data of Frette et al.
Phys. Rev. E 55, 2969, (1997).
Network modeling, porous media, immiscible, two-phase flow, capillary and viscous forces, time dependences, pressure evolution.
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